101000011201 has 2 divisors, whose sum is σ = 101000011202. Its totient is φ = 101000011200.

The previous prime is 101000011169. The next prime is 101000011207. The reversal of 101000011201 is 102110000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81238680576 + 19761330625 = 285024^2 + 140575^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000011201 - 2⁵ = 101000011169 is a prime.

It is not a weakly prime, because it can be changed into another prime (101000011207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500005600 + 50500005601.

It is an arithmetic number, because the mean of its divisors is an integer number (50500005601).

Almost surely, 2^101000011201 is an apocalyptic number.

It is an amenable number.

101000011201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000011201 is an equidigital number, since it uses as much as digits as its factorization.

101000011201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101000011201 its reverse (102110000101), we get a palindrome (203110011302).

It can be divided in two parts, 1010000 and 11201, that added together give a palindrome (1021201).

The spelling of 101000011201 in words is "one hundred one billion, eleven thousand, two hundred one".